Existence of solutions for nonlinear mixed type integrodifferential functional evolution equations with nonlocal conditions
type: Item
instance of: scholarly article
title: Existence of solutions for nonlinear mixed type integrodifferential functional evolution equations with nonlocal conditions
zbMATH Open document ID: 1253.45009
DOI: 10.1155/2012/913809
published in: Abstract and Applied Analysis
publication date: 2012-12-18T00:00:00Z
review text: Summary: Using Mönch fixed point theorem, this paper proves the existence and controllability of mild solutions for nonlinear mixed type integrodifferential functional evolution equations with nonlocal conditions in Banach spaces, some restricted conditions on a priori estimation and measure of noncompactness estimation have been deleted, our results extend and improve many known results. As an application, we have given a controllability result of the system.
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 6116472
zbMATH Keywords: Mönch fixed point theorem
zbMATH Keywords: existence
zbMATH Keywords: controllability
zbMATH Keywords: nonlinear mixed type integrodifferential functional evolution equations
Wikidata QID: Q58697080
author: Shengli Xie
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/913809
OpenAlex ID: W2097030361
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description: scientific article; zbMATH DE number 6116472